(39)/(75)= __ (120)/(90)= ... __

To solve these fractions, we need to simplify them to their lowest terms.<br /><br />1. Simplifying \(\frac{39}{75}\):<br /><br /> - Find the greatest common divisor (GCD) of 39 and 75.<br /> - The GCD of 39 and 75 is 3.<br /> - Divide both the numerator and the denominator by their GCD (3):<br /><br /> \[<br /> \frac{39 \div 3}{75 \div 3} = \frac{13}{25}<br /> \]<br /><br /> Therefore, \(\frac{39}{75} = \frac{13}{25}\).<br /><br />2. Simplifying \(\frac{120}{90}\):<br /><br /> - Find the GCD of 120 and 90.<br /> - The GCD of 120 and 90 is 30.<br /> - Divide both the numerator and the denominator by their GCD (30):<br /><br /> \[<br /> \frac{120 \div 30}{90 \div 30} = \frac{4}{3}<br /> \]<br /><br /> Therefore, \(\frac{120}{90} = \frac{4}{3}\).<br /><br />So the answers are:<br />\[<br />\frac{39}{75} = \frac{13}{25}<br />\]<br />\[<br />\frac{120}{90} = \frac{4}{3}<br />\]